Every number greater that 991 can be expressed as the sum of abundant numbers. Two addends are sufficient for every integer greater than 20161 and for every even number greater than 46.

The smallest pair of consecutive abundant numbers is (5775, 5776).
The first such triple starts at 171078830, while the smallest known quadruple, found by Bruno Mishutka, starts at 141363708067871564084949719820472453374.